Least Common Multiple of 815/12, 392/1123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 815/12, 392/1123 quickly i.e. 319480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 815/12, 392/1123 is 319480.

LCM(815/12, 392/1123) = 319480

LCM of 815/12, 392/1123

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 815/12,392/1123

Given numbers are 815/12,392/1123

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 815,392

Least Common Multiple of Numerators i.e. LCM of 815,392 is 319480.

GCF of Denominators means GCF of 12,1123 as per the given fractions.

GCF of 12,1123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 815,392

LCM of Fractions 815/12,392/1123 is 319480

Given numbers has no common factors except 1. So, there LCM is their product i.e 319480

Least Common Multiple of 815,392 with GCF Formula

Least Common Multiple of 815,392 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 815,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(815,392) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(815,392) x common factors =1 x 1 = 1

LCM(815,392) = ( 815 × 392 ) / 1

LCM(815,392) = 319480 / 1

LCM(815,392) = 319480


Lets's calculate GCF of 12,1123

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319480/1

Therefore the LCM of Fractions 815/12,392/1123 is 319480

Greatest Common Factor of 12,1123 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,1123 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 1123

List of positive integer factors of 1123 that divides 1123 without a remainder.

1,1123

Greatest Common Factor

We found the factors 12,1123 . The biggest common factor number is the GCF number.
So the greatest common factor 12,1123 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 815/12, 392/1123

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 815/12, 392/1123?

Answer: LCM of Numerators as per given numbers 815/12, 392/1123 is

LCM of Numerators i.e. for 815,392 is 319480

GCF of denominators i.e. for 12,1123 is 1.

Thus, LCM of Fractions is 319480.Finally, LCM of Fractions for 815/12, 392/1123 is 319480.